摘要翻译:
根据现有的文献,场理论重整化群(RG)方法在二维情况下给出了不同于已知精确值的临界指数。这一事实试图通过RG函数中非解析贡献的存在来解释。本文用一种新的发散级数求和算法分析了这种情况,从而可以分析临界指数的结果与RG函数展开系数的关系。结果表明,通过合理的系数函数形式,可以得到所有指数的精确值。这些函数具有小的非单调性或屈折,在自然插值中很难再现。在RG函数中不需要假定奇异贡献的存在。
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英文标题:
《Renormalization Group Functions for Two-Dimensional Phase Transitions:
To the Problem of Singular Contributions》
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作者:
A.A.Pogorelov and I.M.Suslov
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:High Energy Physics - Phenomenology 高能物理-现象学
分类描述:Theoretical particle physics and its interrelation with experiment. Prediction of particle physics observables: models, effective field theories, calculation techniques. Particle physics: analysis of theory through experimental results.
理论粒子物理及其与实验的相互关系。粒子物理可观测物的预测:模型,有效场论,计算技术。粒子物理:通过实验结果分析理论。
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一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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英文摘要:
According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the existence of nonanalytic contributions in the RG functions. The situation is analysed in this work using a new algorithm for summing divergent series that makes it possible to analyse dependence of the results for the critical exponents on the expansion coefficients for RG functions. It has been shown that the exact values of all the exponents can be obtained with a reasonable form of the coefficient functions. These functions have small nonmonotonities or inflections, which are poorly reproduced in natural interpolations. It is not necessary to assume the existence of singular contributions in RG functions.
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PDF链接:
https://arxiv.org/pdf/711.0918